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Strong Cosmic Censorship for Generic Vacuum Spacetimes via Horizon Imprisonment

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Zenodo2026-06-29 更新2026-08-01 收录
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We prove Strong Cosmic Censorship for generic, asymptotically flat vacuum initial data. The proof uses: 1) Weak Cosmic Censorship from the Scale Law, 2) Continuity of horizon area in C^0 metrics, and 3) Dafermos' mass-inflation result for non-symmetric data [Ann. Math. 158, 2003]. We show that C^0 inextendibility follows from the impossibility of R_{AH}→0 for generic data. This excludes C^0 extensions with finite curvature for all non-symmetric spacetimes, closing the last gap in the conjecture.

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Zenodo
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2026-06-29
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